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Complex Numbers

  1. Sep 2, 2012 #1
    1. The problem statement, all variables and given/known data

    Evaluate (find the real and complex components) of the following numbers, in either rectangular or polar form:

    [itex]\sqrt{\frac{1+j}{4-8j}}[/itex]

    2. Relevant equations



    3. The attempt at a solution

    I get to here and am not sure where to go from here

    [itex]\sqrt{-1/20+3/20j}[/itex]

    I noticed that I can't used euler's identity here because (-1/20)^2+(3/20)^2 is not one. Thanks for any help you can provide
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 2, 2012 #2

    Dick

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    This would be a good time to change -1/20+3j/20 to polar form.
     
  4. Sep 2, 2012 #3

    jbunniii

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    Gold Member

    Can you factor out a real number from [itex]-1/20 + 3i/20[/itex] so that what remains has unit magnitude? i.e. write it in the form

    [tex]\frac{-1}{20} + \frac{3i}{20} = r(a + ib)[/tex]

    where [itex]a^2 + b^2 = 1[/itex]
     
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